Search a number
-
+
2024214213 = 37539191979
BaseRepresentation
bin111100010100111…
…0000111011000101
312020001220201212210
41320221300323011
513121144323323
6532505534033
7101106352110
oct17051607305
95201821783
102024214213
1194968610a
12485aa4319
132634a49b8
14152b9d577
15bca97293
hex78a70ec5

2024214213 has 32 divisors (see below), whose sum is σ = 3147724800. Its totient is φ = 1133061696.

The previous prime is 2024214197. The next prime is 2024214221. The reversal of 2024214213 is 3124124202.

2024214213 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2024214213 - 24 = 2024214197 is a prime.

It is a super-2 number, since 2×20242142132 = 8194886360222418738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2024214213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024214253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021858 + ... + 1023836.

It is an arithmetic number, because the mean of its divisors is an integer number (98366400).

Almost surely, 22024214213 is an apocalyptic number.

It is an amenable number.

2024214213 is a deficient number, since it is larger than the sum of its proper divisors (1123510587).

2024214213 is a wasteful number, since it uses less digits than its factorization.

2024214213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2024214213 is about 44991.2681861714. The cubic root of 2024214213 is about 1264.9853327258.

Adding to 2024214213 its reverse (3124124202), we get a palindrome (5148338415).

The spelling of 2024214213 in words is "two billion, twenty-four million, two hundred fourteen thousand, two hundred thirteen".

Divisors: 1 3 7 21 53 159 371 919 1113 1979 2757 5937 6433 13853 19299 41559 48707 104887 146121 314661 340949 734209 1022847 1818701 2202627 5456103 12730907 38192721 96391153 289173459 674738071 2024214213